405.6 is what percent of 460.36 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 460.36 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 460.36, so we can write it down as 100%=460.36.
4. We know, that x% equals 405.6 of the output value, so we can write it down as x%=405.6.
5. Now we have two simple equations:
1) 100%=460.36
2) x%=405.6
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=460.36/405.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 405.6 is what percent of 460.36

100%/x%=460.36/405.6
(100/x)*x=(460.36/405.6)*x       - we multiply both sides of the equation by x
100=1.1350098619329*x       - we divide both sides of the equation by (1.1350098619329) to get x
100/1.1350098619329=x
88.104961334608=x
x=88.104961334608

now we have:
405.6 is 88.104961334608% of 460.36